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The pipe section is circular and is characterized by its outer radius and its thickness (in that order). There are 8 integration points equally distributed along the circumference. In local coordinates, the radius at which the integration points are located is $ \sqrt{(\xi^2+1)/2}$, where $ \xi=r/R$, $ r$ being the inner radius and $ R$ the outer radius. The weight for each integration point is given by $ \pi*(1-\xi^2)/8$ [12].

guido dhondt 2018-12-15